Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Raffaele Chiappinelli"'
Publikováno v:
Mathematics, Vol 8, Iss 9, p 1538 (2020)
Let X be a real Banach space with dual X∗ and suppose that F:X→X∗. We give a characterisation of the property that F is locally proper and establish its stability under compact perturbation. Modifying an recent result of ours, we prove that any
Externí odkaz:
https://doaj.org/article/2d11740ae07e4ad19b2bb4202eb77699
Autor:
Raffaele Chiappinelli
Publikováno v:
Symmetry, Vol 11, Iss 7, p 928 (2019)
We give a new and simplified definition of spectrumfor a nonlinear operator F acting in a real Banach space X, and study some of its features in terms of (qualitative and) quantitative properties of F such as the measure of noncompactness, α ( F ) ,
Externí odkaz:
https://doaj.org/article/d987cc2601c0450c908dd6ae01020f0b
Autor:
Raffaele Chiappinelli
Publikováno v:
Axioms, Vol 7, Iss 2, p 39 (2018)
A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, where F(λ,0)=0 for all λ, and contains by definition two unknowns: the eigenvalue parameter λ and the “nontrivial” vector(s) x corresponding to it. The
Externí odkaz:
https://doaj.org/article/454ac8e6b379410b80a95d8efc1691ee
Autor:
Raffaele Chiappinelli
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)
We review some more and less recent results concerning bounds on nonlinear eigenvalues (NLEV) for gradient operators. In particular, we discuss the asymptotic behaviour of NLEV (as the norm of the eigenvector tends to zero) in bifurcation problems fr
Externí odkaz:
https://doaj.org/article/77f5dab80c0b456caba7c309c2807390
Autor:
Raffaele Chiappinelli
This book is intended to be used as a rather informal, and surely not complete, textbook on the subjects indicated in the title. It collects my Lecture Notes held during three academic years at the University of Siena for a one semester course on'Bas
Autor:
Raffaele Chiappinelli
Publikováno v:
Axioms
Volume 7
Issue 2
Axioms, Vol 7, Iss 2, p 39 (2018)
Volume 7
Issue 2
Axioms, Vol 7, Iss 2, p 39 (2018)
A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, where F(λ,0)=0 for all λ, and contains by definition two unknowns: the eigenvalue parameter λ and the “nontrivial” vector(s) x corresponding to it. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41e0ab4b29d1bf59b2e27095676f44d5
https://doi.org/10.37247/paam.1.2020.1-28
https://doi.org/10.37247/paam.1.2020.1-28
Autor:
Raffaele Chiappinelli
Publikováno v:
Ann. Funct. Anal. 10, no. 2 (2019), 170-179
We consider continuous gradient operators $F$ acting in a real Hilbert space $H$ , and we study their surjectivity under the basic assumption that the corresponding functional $\langle F(x),x\rangle $ —where $\langle \cdot \rangle $ is the scalar p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1f00c8250e482c0343d30d7c65f2c76
https://projecteuclid.org/euclid.afa/1531533617
https://projecteuclid.org/euclid.afa/1531533617
It is shown that if X is a real Banach space with dual X ⁎ and F : X → X ⁎ is a continuous gradient operator that is coercive in a certain sense and proper on closed bounded sets, then it is surjective. Use of the notion of measure of noncompac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1973945cbfa12fbe36b03741636a4276
http://hdl.handle.net/11365/1073576
http://hdl.handle.net/11365/1073576
Publikováno v:
Glasgow Mathematical Journal. 55:629-638
Let H be a real Hilbert space and denote by S its unit sphere. Consider the nonlinear eigenvalue problem Ax + ε B(x) =δ x, where A: H → H is a bounded self-adjoint (linear) operator with nontrivial kernel Ker A, and B: H → H is a (possibly) non
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2de0aeba1c70a1346cc49b750b006589
https://doi.org/10.1017/s0017089512000791
https://doi.org/10.1017/s0017089512000791
Autor:
Raffaele Chiappinelli
Publikováno v:
Applied Mathematics and Computation. 216:3772-3777
We prove upper and lower bounds on the eigenvalues (as the H 0 1 ( Ω ) norm of the eigenfunction tends to zero) in bifurcation problems for a class of semilinear elliptic equations in bounded domains of R N . It is shown that these bounds are comput
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35bfa402ca59125b72397320deb161b2
https://doi.org/10.1016/j.amc.2010.05.050
https://doi.org/10.1016/j.amc.2010.05.050